1996/08/03 by Stephen C. Creagh, Niall D. Whelan · 8 citations
Physics and Astronomy · #Action (physics) #Chaotic #Chaotic systems #Classical mechanics #Computer science #Integrable system #Mathematical physics #Nonlinear system #Nuclear physics research studies #Orbit (dynamics) #Periodic orbits #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chaos and dynamical systems #Quantum mechanics #Quantum tunnelling #Statistical physics #TRACE (psycholinguistics) #chao-dyn #nlin.CD
paper · pdf · doi:10.1103/physrevlett.77.4975
published as Phys. Rev. Lett. vol. 77, 4975 (1996).
arxiv created 1996/08/03 · openalex publication_date 1996/12/16 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We derive a trace formula for the splitting-weighted density of states suitable for chaotic potentials with isolated symmetric wells. This formula is based on complex orbits which tunnel through classically forbidden barriers. The theory is applicable whenever the tunneling is dominated by isolated orbits, a situation which applies to chaotic systems but also to certain near-integrable ones. It is used to analyze a specific two-dimensional potential with chaotic dynamics. Mean behavior of the splittings is predicted by an orbit with imaginary action. Oscillations around this mean are obtained from a collection of related orbits whose actions have nonzero real part.